Steve thinks that he has a fair coin with equal probability of landing head or tails. He is ready to change his mind if in a long enough series of flips the coin will land on the same side. Steve decided that "long enough" means the probability of a fair coin landing the same way is less than 1%. What is the shortest series that will allow Steve to declare that the coin is not fair?

Question

A. 7 flips
B. 8 flips
C. 99 flips
D.101 flips
I think its 99 so C but I'm not sure

Answer 1

(1/2)^n < .01

n log(1/2) < -2

n > -2 / log(1/2)

Answer 2

Wdym by that equation?

Answer 3

1/2 is the probability of a given side

for n consecutive flips with the same result , the probability is (1/2)^n

the criteria for the probability of consecutive identical flips is < 1%